Question 1

If x = -4 and y = -2, evaluate the expression.
-$\frac { 12 - 6 x } { y + 2 }$

Accepted Answer

A)  0 
B)  3 
C)  $- 9$ 
D)  undefined 
A)  0 
B)  3 
C)  $- 9$ 
D)  undefined

Question 2

Some real numbers are integers.

Accepted Answer

A) True 
 B)False

Question 3

Simplify the expression.
-$\frac { 16 + | 18 - 4 | } { 20 - 5 }$

Accepted Answer

A)  $\frac { 6 } { - }$ 
B)  $\frac { 38 } { 4 }$ 
C)  45 
D)  2 5 15 
A)  $\frac { 6 } { - }$ 
B)  $\frac { 38 } { 4 }$ 
C)  45 
D)  2 5 15

Question 4

Evaluate the expression for the given replacement values.
-$\frac { y } { z } + 2 x ^ { 2 } \quad x = 7 , y = 16 , z = 8$

Accepted Answer

A)  51 
B)  102 
C)  100 
D)  130 
A)  51 
B)  102 
C)  100 
D)  130

Question 5

Evaluate the expression when x = 5, y = -2, and t = 8.
-$\frac { | x + 16 | } { 5 t }$

Accepted Answer

A)  $- \frac { 12 } { 5 }$ 
B)  $\frac { 21 } { 40 }$ 
C)  $\frac { 11 } { 40 }$ 
D)  2 
A)  $- \frac { 12 } { 5 }$ 
B)  $\frac { 21 } { 40 }$ 
C)  $\frac { 11 } { 40 }$ 
D)  2

Question 6

Use an integer to represent the value in the statement.
-a decrease of 114 feet in elevation

Accepted Answer

A)  114 
B)  $- 114$ 
A)  114 
B)  $- 114$

Question 7

Simplify the expression.
-$16 \cdot 19 + 12 \cdot 15$

Accepted Answer

A)  4740 
B)  7440 
C)  484 
D)  3184 
A)  4740 
B)  7440 
C)  484 
D)  3184

Question 8

Simplify the expression.
-$( - 7 ) ( - 6 )$

Accepted Answer

A)  42 
B)  $- 42$ 
C)  52 
D)  84 
A)  42 
B)  $- 42$ 
C)  52 
D)  84

Question 9

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$- ( r - 9 w )$

Accepted Answer

A)  $r + 9 w$ 
B)  $r - 9 w$ 
C)  $- r + 9 w$ 
D)  $- r - 9 w$ 
A)  $r + 9 w$ 
B)  $r - 9 w$ 
C)  $- r + 9 w$ 
D)  $- r - 9 w$

Question 10

Insert  
 , or = to make the statement true.
-$- 3$ $- 5$

Accepted Answer

A) $>$ B) $=$ C) $<$ A) $>$ B) $=$ C) $<$

Question 11

If x = -4 and y = -2, evaluate the expression.
-$6 x + 3 y$

Accepted Answer

A)  0 
B)  $- 18$ 
C)  $- 30$ 
D)  $- 24$ 
A)  0 
B)  $- 18$ 
C)  $- 30$ 
D)  $- 24$

Question 12

Find the reciprocal or multiplicative inverse.
-$- 100$

Accepted Answer

A)  100 
B)  $\frac { 1 } { 100 }$ 
C)  $- \frac { 1 } { 100 }$ 
D)  $- 1$ 
A)  100 
B)  $\frac { 1 } { 100 }$ 
C)  $- \frac { 1 } { 100 }$ 
D)  $- 1$

Question 13

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.
-$- 13$

Accepted Answer

A)  irrational, real 
B)  real 
C)  integer, rational, real 
D)  whole, real 
A)  irrational, real 
B)  real 
C)  integer, rational, real 
D)  whole, real

Question 14

Insert  , or = to make the statement true.
-0 ____$- 7$

Accepted Answer

A) $>$ B) $=$ C) $<$ A) $>$ B) $=$ C) $<$

Question 15

Add or subtract as indicated. Write the answer in lowest terms.
-$3 \frac { 3 } { 5 } + 5 \frac { 5 } { 7 }$

Accepted Answer

A)  $9 \frac { 11 } { 35 }$ 
B)  $5 \frac { 13 } { 35 }$ 
C)  $2 \frac { 22 } { 35 }$ 
D)  $1 \frac { 1 } { 3 }$ 
A)  $9 \frac { 11 } { 35 }$ 
B)  $5 \frac { 13 } { 35 }$ 
C)  $2 \frac { 22 } { 35 }$ 
D)  $1 \frac { 1 } { 3 }$

Question 16

Find the reciprocal or multiplicative inverse.
-10

Accepted Answer

A)  $- \frac { 1 } { 10 }$ 
B)  $- 10$ 
C)  1 
D)  $\frac { 1 } { 10 }$ 
A)  $- \frac { 1 } { 10 }$ 
B)  $- 10$ 
C)  1 
D)  $\frac { 1 } { 10 }$

Question 17

Simplify the expression.
-$6 \div 3 \cdot 2 - 9 \cdot 8$

Accepted Answer

A)  -64 
B)  -68 
C)  -71 
D)  -40 
A)  -64 
B)  -68 
C)  -71 
D)  -40

Question 18

Multiply or divide as indicated. Write the answer in lowest terms.
-$4 \frac { 1 } { 8 } \div 2 \frac { 2 } { 3 }$

Accepted Answer

A)  $1 \frac { 35 } { 63 }$ 
B)  $1 \frac { 35 } { 64 }$ 
C)  $1 \frac { 36 } { 64 }$ 
D)  $2 \frac { 35 } { 64 }$ 
A)  $1 \frac { 35 } { 63 }$ 
B)  $1 \frac { 35 } { 64 }$ 
C)  $1 \frac { 36 } { 64 }$ 
D)  $2 \frac { 35 } { 64 }$

Question 19

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.
-$\frac { 1 } { 13 }$

Accepted Answer

A)  whole, real 
B)  real 
C)  irrational, real 
D)  rational, real 
A)  whole, real 
B)  real 
C)  irrational, real 
D)  rational, real

Question 20

Evaluate the expression for the given replacement values.
-$\frac { 14 x - 4 y } { 2 } \quad x = 9 , y = 3$

Accepted Answer

A)  69 
B)  61 
C)  57 
D)  3 
A)  69 
B)  61 
C)  57 
D)  3

If x = -4 and y = -2, evaluate the expression. - $\frac { 12 - 6 x } { y + 2 }$

Some real numbers are integers.

Simplify the expression. - $\frac { 16 + | 18 - 4 | } { 20 - 5 }$

Evaluate the expression for the given replacement values. - $\frac { y } { z } + 2 x ^ { 2 } \quad x = 7 , y = 16 , z = 8$

Evaluate the expression when x = 5, y = -2, and t = 8. - $\frac { | x + 16 | } { 5 t }$

Use an integer to represent the value in the statement. -a decrease of 114 feet in elevation

Simplify the expression. - $16 \cdot 19 + 12 \cdot 15$

Simplify the expression. - $( - 7 ) ( - 6 )$

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $- ( r - 9 w )$

Insert , or = to make the statement true. - $- 3$ $- 5$

If x = -4 and y = -2, evaluate the expression. - $6 x + 3 y$

Find the reciprocal or multiplicative inverse. - $- 100$

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. - $- 13$

Insert $< , >$ , or = to make the statement true. -0 ____ $- 7$

Add or subtract as indicated. Write the answer in lowest terms. - $3 \frac { 3 } { 5 } + 5 \frac { 5 } { 7 }$

Find the reciprocal or multiplicative inverse. -10

Simplify the expression. - $6 \div 3 \cdot 2 - 9 \cdot 8$

Multiply or divide as indicated. Write the answer in lowest terms. - $4 \frac { 1 } { 8 } \div 2 \frac { 2 } { 3 }$

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. - $\frac { 1 } { 13 }$

Evaluate the expression for the given replacement values. - $\frac { 14 x - 4 y } { 2 } \quad x = 9 , y = 3$

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 1: Review of Real Numbers

If x = -4 and y = -2, evaluate the expression. - 12−6xy+2\frac { 12 - 6 x } { y + 2 }y+212−6x​

Some real numbers are integers.

Simplify the expression. - 16+∣18−4∣20−5\frac { 16 + | 18 - 4 | } { 20 - 5 }20−516+∣18−4∣​

Evaluate the expression for the given replacement values. - yz+2x2x=7,y=16,z=8\frac { y } { z } + 2 x ^ { 2 } \quad x = 7 , y = 16 , z = 8zy​+2x2x=7,y=16,z=8

Evaluate the expression when x = 5, y = -2, and t = 8. - ∣x+16∣5t\frac { | x + 16 | } { 5 t }5t∣x+16∣​

Use an integer to represent the value in the statement. -a decrease of 114 feet in elevation

Simplify the expression. - 16⋅19+12⋅1516 \cdot 19 + 12 \cdot 1516⋅19+12⋅15

Simplify the expression. - (−7)(−6)( - 7 ) ( - 6 )(−7)(−6)

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - −(r−9w)- ( r - 9 w )−(r−9w)

Insert , or = to make the statement true. - −3- 3−3 −5- 5−5

If x = -4 and y = -2, evaluate the expression. - 6x+3y6 x + 3 y6x+3y

Find the reciprocal or multiplicative inverse. - −100- 100−100

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. - −13- 13−13

Insert <,>< , ><,> , or = to make the statement true. -0 ____ −7- 7−7

Add or subtract as indicated. Write the answer in lowest terms. - 335+5573 \frac { 3 } { 5 } + 5 \frac { 5 } { 7 }353​+575​

Find the reciprocal or multiplicative inverse. -10

Simplify the expression. - 6÷3⋅2−9⋅86 \div 3 \cdot 2 - 9 \cdot 86÷3⋅2−9⋅8

Multiply or divide as indicated. Write the answer in lowest terms. - 418÷2234 \frac { 1 } { 8 } \div 2 \frac { 2 } { 3 }481​÷232​

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. - 113\frac { 1 } { 13 }131​

Evaluate the expression for the given replacement values. - 14x−4y2x=9,y=3\frac { 14 x - 4 y } { 2 } \quad x = 9 , y = 3214x−4y​x=9,y=3

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

If x = -4 and y = -2, evaluate the expression. - $\frac { 12 - 6 x } { y + 2 }$

Simplify the expression. - $\frac { 16 + | 18 - 4 | } { 20 - 5 }$

Evaluate the expression for the given replacement values. - $\frac { y } { z } + 2 x ^ { 2 } \quad x = 7 , y = 16 , z = 8$

Evaluate the expression when x = 5, y = -2, and t = 8. - $\frac { | x + 16 | } { 5 t }$

Simplify the expression. - $16 \cdot 19 + 12 \cdot 15$

Simplify the expression. - $( - 7 ) ( - 6 )$

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $- ( r - 9 w )$

Insert , or = to make the statement true. - $- 3$ $- 5$

If x = -4 and y = -2, evaluate the expression. - $6 x + 3 y$

Find the reciprocal or multiplicative inverse. - $- 100$

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. - $- 13$

Insert $< , >$ , or = to make the statement true. -0 ____ $- 7$

Add or subtract as indicated. Write the answer in lowest terms. - $3 \frac { 3 } { 5 } + 5 \frac { 5 } { 7 }$

Simplify the expression. - $6 \div 3 \cdot 2 - 9 \cdot 8$

Multiply or divide as indicated. Write the answer in lowest terms. - $4 \frac { 1 } { 8 } \div 2 \frac { 2 } { 3 }$

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. - $\frac { 1 } { 13 }$

Evaluate the expression for the given replacement values. - $\frac { 14 x - 4 y } { 2 } \quad x = 9 , y = 3$